Answer:
Mark has 24
Don has 79
Step-by-step explanation:
Let x = marbles mark has
don has 3x+7
Together they have 103
mark + don = 103
x+ (3x+7) = 103
Combine like terms
4x+7 = 103
Subtract 7
4x = 96
Divide by 4
x = 96/4
x =24
Mark has 24
Don has 103 -24
Done has 79
what is 2% of 30000.00
Answer:
2% of 30,000 is 2/100×30,000
two zeroes of 100 can be cancelled out with 2 zeroes of 30,000, which gives, 2×300= 600
so, 2% of 30,000 is 600
Answer:
600
Step-by-step explanation:
30,000x.02
(.02 is 2% as a decimal)
multiply them to get 600
The study reported, "Girls aged 5-15 in villages that received the recruiting services were 3 to 5 percentage points more likely to be in school and experienced an increase in Body Mass Index, reflecting greater nutrition and/or medical care. However, there was no net gain in height. For boys, there was no change in any of these measures." Why do you think the author points out the lack of change in the boys?
Answer:
Step-by-step explanation:
From the given information:
The study group includes Girls and Boys
So; we can have a table
Groups Treatment ( Recruiting services) Points
Girls likely to be in School and increase 3-5 %
in Body Mass Index, reflecting greater
nutrition and/or medical care.
Net gain in height -
Boys likely to be in School and increase No changes
in Body Mass Index, reflecting greater
nutrition and/or medical care.
Net gain in height No changes
Why do you think the author points out the lack of change in the boys?
From the information above; we need to understand that the point the author is trying to express is that the Recruiting services Treatment are largely beneficial for the females rather than the males.
Write the standard equation of the circle with center (4, -2) and radius 5.2.
Answer:
If the radius is really 5.2, then the standard equation of this circle is:
[tex](x-4)^2+(y+2)^2=27.04[/tex]
Now, if there was a typo in your question, and the radius is "5", then, the equation becomes:
[tex](x-4)^2+(y+2)^2=25[/tex]
Step-by-step explanation:
Recall that the standard equation for a circle of radius R, centered at [tex](x_0,y_0)[/tex], is given by:
[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]
Therefore in the case of a circle of radius R = 5.2, and centered at (4, -2), we have:
[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-4)^2+(y-(-2))^2=(5.2)^2\\(x-4)^2+(y+2)^2=27.04[/tex]
A set of prime number between 5 and 15.express it in listing and setbuilder methods
Answer:
A set of prime number between 5 and 15.
Listing method:{ 7,11,13}
Set builder method:{X:X is a set of prime number between 5 and 15}
In listing method,the elements are listed inside the brackets.Listing method are also called rooster method.
In set builder method,the elements are represented by a variable stating their common properties.Set builder method are also called rule method.
Hope this helps...
Good luck on your assignment..
The standard form of the equation of a parabola is y= 5x2 + 20x+ 14.
What is the vertex form of the equation?
Answer:
y = 5(x+2)^2 - 6
Step-by-step explanation:
Let $x$ be the smallest multiple of $11$ that is greater than $1000$ and $y$ be the greatest multiple of $11$ less than $11^2$. Compute $x - y$.
Answer:
891
Step-by-step explanation:
x has to be 1001 and y has to be 11 * 10 = 110 so x - y = 1001 - 110 = 891.
Answer:
891
Step-by-step explanation:
[tex]$1001$ is the smallest integer greater than $1000$. It also happens to be a multiple of $11$, since $1001 = 11 \cdot 91$. So $1001$ is the smallest multiple of $11$ greater than $1000$ and thus $x = 1001$.The greatest multiple of $11$ that is less than $11^2 = 11 \cdot 11$ is$$11 \cdot (11 - 1) = 11 \cdot 10 = 110$$Thus $y = 110$, and we compute$$x - y = 1001 - 110 = \boxed{891}$$[/tex]
Hope this helped! :)
If 1/6x+2/3y=8 what is the value of 2x+8y
Answer: 96
Step-by-step explanation:
Simply multiply the first question by 12 to get 2x+8y=96
Hope it helps <3
4p+6-3 combine the like terms to create an equivalent expression
Answer:
4p + 3Step-by-step explanation:
6 - 3 = 3
The numbers can be simplified to become the number 3.
4p stays the same.
Place the variable and numbers together.
This will result in the equation of 4p + 3.
The answer is 4p + 3.y varies inversely as x . If x = 6 then y = 5. Find y when x = 2.
Answer:
y = 15
Step-by-step explanation:
y varies inversely as x.
y = k/x
5 = k/6
Find constant of proportionality.
5 × 6 = k
30 = k
Plug k as 30 and x as 2.
y = 30/2
y = 15
a jacket originally sold for $45. this week it went on sale for 20% off. what is the discount and what is the sales price?
Answer:
discount = 9
new price = 36
Step-by-step explanation:
The discount is the price times the discount percent
45 * 20%
Change to decimal form
45*.20
9
The new price is the original price minus the discount
45-9 = 36
what is the solution of the inequality shown below
Answer:
there is no inequality..
Step-by-step explanation:
Answer:
???
Step-by-step explanation:
Yolonda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street
Answer:
I saw one person that way
Step-by-step explanation:
she had red hair and green eyes with pale skin
HELP ASAP!! What is the correct answer
Answer:
We cannot use method B
Step-by-step explanation:
We cannot use method B . We do not know that there be the same number of even and odd numbers assigned with a random number generator
Find the slope of the line. m =
Answer: m=4
Step-by-step explanation:
To find the slope, we use the formula [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. We can use the two points to find the slope. The points on the graph are (-2,1) and (-3,-3).
[tex]m=\frac{-3-1}{-3-(-2)} =\frac{-4}{-1} =4[/tex]
Please answer this correctly
Answer:
5/12
Step-by-step explanation:
The probability of rolling a number greater than 1 is 5/6, because 5 numbers on a 6-sided dice are greater than 1.
The probability of rolling an even number is 3/6, because 3 numbers on a 6-sided dice are even numbers.
[tex]5/6 \times 3/6[/tex]
[tex]=15/36[/tex]
[tex]=5/12[/tex]
U = C(1 + rt) solve for t
Answer:
[tex] t = \frac{U -C }{Cr}[/tex]
Step-by-step Explanation
[tex]U = C(1+rt) \\ \\ \frac{U}{C} = (1 + rt) \\ \\ \frac{U}{C} - 1 = rt\\ \\ \frac{U -C }{C} = rt\\ \\ \huge \red{ \boxed{ t = \frac{U -C }{Cr} }}[/tex]
Which of the following is the absolute value of 6 - 3/
Answer:
3
Step-by-step explanation:
| 6-3|
Find the value inside the absolute value signs
6-3 = 3
| 3|
Means take the non negative value
|3| = 3
Answer:
3
Step-by-step explanation:
Well absolute value means turn the negative into a positive so,
|6-3|
|3|
= 3
Thus,
the answer is 3.
Hope this helps :)
help i will give you brainlest but have to be correct
Answer:
the answer is 2
Step-by-step explanation:
She is not correct because her school and her cousin's school may not be the same size.
please answer this correctly
Answer:
1/9
Step-by-step explanation:
The die has sides 1,2,3,4,5,6
P( less than 5) = 1,2,3,4 / total
=4/6 = 2/3
Then rolling again
P(greater than 5) = 6/total = 1/6
P( less than 5,greater than 5) = 2/3* 1/6= 1/9
An audiologist is interested in the efficacy of three different types of hearing aids. He gathers three groups of hearing-impaired clients:
One group receives analog hearing aids, which convert sound waves into amplified electrical signals.
The second group receives digital hearing aids, which use directional microphones to control the flow of sound and convert the sound waves into numerical codes before amplifying them.
The third group receives cochlear implants. The results come in, and a statistician conducts an analysis of variance.
Required:
In this study what is the hearing aid type considered and What are the treatments (analog hearing aids, digital hearing aids, and cochlear implants) considered?
Answer:
Step-by-step explanation:
In the study, the following hearing aid types were considered:
1. The analog hearing aids
2. The digital hearing aids
3. Cochlear implants
The first two types do not require surgery while the last requires surgery.
The treatment considered are
1. Treatment of the first group of hearing impaired clients with analog hearing aids, which convert sound waves into amplified electrical signals.
2. Treatment of the second group of hearing impaired clients with digital hearing aids, which use directional microphones to control the flow of sound and convert the sound waves into numerical codes before amplifying them.
3. Treatment of the third group of hearing impaired clients with cochlear implants
please help me on number 11 if you know how to :) !
Answer:
(x, y) = (25, 18)
Step-by-step explanation:
Use the angle sum theorem. You can write equations for the right angle and for the linear angle.
(x +11) +(3y) = 90 . . . . sum of angles making the right angle
(y +7) +90 +65 = 180 . . . . sum of angles making the linear angle
From the second equation, we have ...
y = 18 . . . . subtract 162
Substituting into the first equation gives ...
x + 11 + 3(18) = 90
x = 25 . . . . subtract 65
The values of x and y are 25 and 18, respectively.
_____
Check
VQ = 18+7 = 25
QR = 25 +11 = 36
RS = 3·18 = 54
ST = 65
The totals are 36 +54 = 90; 25 +36 +54 +65 = 180, as required.
what is the solution to 0.5(5x+1)=3
Answer:
1
Step-by-step explanation:
Divide each term by
0.5 and simplify.
Divide each term in
0.5 ( 5 x + 1 ) = 3 by 0.5 . 0.5 ( 5 x + 1 ) 0.5
= 3 0.5 Cancel the common factor of 0.5 . 5 x + 1 = 3 0.5 Divide 3 by 0.5 .
5 x + 1 = 6
Move all terms not containing
x
to the right side of the equation.
Subtract 1 from both sides of the equation.
5 x = 6 − 1 Subtract 1 from 6 . 5 x = 5
Divide each term by
5 and simplify.
Divide each term in 5 x = 5 by 5 . 5 x 5 = 5 5
Cancel the common factor of 5 .
Cancel the common factor.
5 x 5 = 5 5 Divide x by 1 . x = 5 5 Divide 5 by 5 .
x = 1
Given that is both the median and altitude of triangle ABC, congruence postulate SAS is used to prove that triangle ABC is what type of triangle?
Answer:
triangle ΔABC is an isosceles triangle.
Step-by-step explanation:
Given : Given that is both the median and altitude of triangle ABC.
To find : congruence postulate SAS is used to prove that triangle ABC is what type of triangle.
Solution : We have given that both the median and altitude of triangle ABC.
Let AD represent both the median and altitude of triangle ABC.
A median divides the side in two equal parts.
So , BD=BC.
An altitude is a perpendicular drawn .
A perpendicular makes an angle of 90°.
Hence <ADB = <ADC = 90°
AD is the side common to both the triangles ADB and ADC.
Hence, Δ ADB≅ΔADC (SAS congruence postulate).
So AB=AC by c.p .c .t.c(congruent parts of congruent triangles are congruent)
Hence by definition of Isosceles triangle ΔABC is an isosceles triangle.
Therefore, triangle ΔABC is an isosceles triangle.
What is the value of $x$ if $-\frac23(x-5) = \frac32(x+1)$?
Answer:
x = (-29)/5
Step-by-step explanation:
Solve for x:
(2 (x - 5))/3 = (3 (x + 1))/2
Multiply both sides by 6:
(6×2 (x - 5))/3 = (6×3 (x + 1))/2
6/3 = (3×2)/3 = 2:
2×2 (x - 5) = (6×3 (x + 1))/2
6/2 = (2×3)/2 = 3:
2×2 (x - 5) = 3×3 (x + 1)
2×2 = 4:
4 (x - 5) = 3×3 (x + 1)
3×3 = 9:
4 (x - 5) = 9 (x + 1)
Expand out terms of the left hand side:
4 x - 20 = 9 (x + 1)
Expand out terms of the right hand side:
4 x - 20 = 9 x + 9
Subtract 9 x from both sides:
(4 x - 9 x) - 20 = (9 x - 9 x) + 9
4 x - 9 x = -5 x:
-5 x - 20 = (9 x - 9 x) + 9
9 x - 9 x = 0:
-5 x - 20 = 9
Add 20 to both sides:
(20 - 20) - 5 x = 20 + 9
20 - 20 = 0:
-5 x = 9 + 20
9 + 20 = 29:
-5 x = 29
Divide both sides of -5 x = 29 by -5:
(-5 x)/(-5) = 29/(-5)
(-5)/(-5) = 1:
x = 29/(-5)
Multiply numerator and denominator of 29/(-5) by -1:
Answer: x = (-29)/5
Answer:
Step-by-step explanation:
Multiplying both sides by $6$ to get rid of the fractions gives\[6\left(-\frac23\right)(k-6) = 6\left(\frac32\right)(k+6),\]so\[-4(k-6) = 9(k+6).\]Expanding both sides gives $-4k+24 = 9k + 54.$ Adding $4k$ to both sides gives $24 = 13k+54.$ Subtracting $54$ from both sides gives $-30=13k.$ Dividing both sides by $13$ gives $k =-30/13}.$
Given the polynomial function below, find F(-1)
F(x)= -x^3-x^2+1
A. -3
B. 3
C. 1
D. -1
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f (x )equalsx Superscript 4 Baseline minus 18 x squared plus 9; [negative 5 comma 5 ]
Answer:
absolute maximum = 184absolute minimum = -72Step-by-step explanation:
Given the function f(x) = x⁴-18x²+9 at the interval [-5, 5], the absolute maximum and minimum values at this end points are as calculated;
at end point x = -5
f(-5) = (-5)⁴-18(-5)²+9
f(-5) = 625-450+9
f(-5) = 184
at end point x = 5
f(5) = (5)⁴-18(5)²+9
f(5) = 625-450+9
f(5) = 184
To get the critical point, this points occurs at the turning point i.e at
dy/dx = 0
if y = x⁴-18x²+9
dy/dx = 4x³-36x = 0
4x³-36x = 0
4x (x²-9) = 0
4x = 0
x = 0
x²-9 = 0
x² = 9
x = ±3
Using the critical points [0, ±3]
when x = 0, f(0) = 0⁴-18(0)+9
f(0) = 9
Similarly when x = 3, f(±3)= (±3)⁴-18(±3)²+9
f(±3) = 81-162+9
f(±3) = -72
It can be seen that the absolute minimum occurs at x= ±5 and and absolute minimum occurs at x =±3
absolute maximum = 184
absolute minimum = -72
You would like to have extra spending money, so you decided to work part-time at the local gym. The job pays $15.00 per hour and you work 20 hours per week. Your employer withholds 10% of your gross pay for federal taxes, 7.65% for FICA taxes, and 3% for state taxes.
Required:
a. What is your weekly gross pay?
b. How much is withheld per week for federal taxes?
c. How much is withheld per week for FICA taxes?
d. How much is withheld per week for state taxes?
e. What is your weekly net pay?
f. What percentage of your gross pay is withheld for taxes? Round to the nearest tenth of a percent.
Answer:
a. Weekly gross pay = $300
b. Federal taxes, F = $30
c. Fica taxes, K = 22.95
d. State taxes, S = $9
e. Weekly net pay = 238.05
Step-by-step explanation:
Gross pay, G = 15 $/h * 20 h = 300 / week
Fed taxes, F = 10%*G = $30
FICA, K = 7.65%*G = $22.95
State taxes, S = 3%*G = $9
a. Weekly gross pay = $300
b. Federal taxes, F = $30
c. Fica taxes, K = 22.95
d. State taxes, S = $9
e. Weekly net pay = 300 - (30+22.95+9) = 300 - 55.95 = 238.05
Find two positive numbers satisfying the given requirements. The product is 216 and the sum is a minimum. (No Response) (smaller value) (No Response) (larger value)
Answer:
[tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]
Step-by-step explanation:
Let the first number is x1 and other number is y1 then
[tex]x1 * y1 =216[/tex]
Therefore
[tex]y1=[/tex][tex]\frac{216}{x1}[/tex]
also there sum is
[tex]s1 =x1+y1[/tex]....Eq(1)
Putting the value of y1 in the previous equation
[tex]s1\ =x1 + \frac{216}{x1}[/tex]........Eq(2)
Differentiate the the Eq(2) with respect to x1 we get
[tex]\frac{ds1}{dx1} \ =\ 1+216*\frac{1}{-x1^{2} }[/tex]
[tex]\frac{ds1}{dx1} \ =\ 1-\frac{216}{x1^{2} }\ =\ 0[/tex]
[tex]{x1^{2} }\ =\ 216\\ x1=\sqrt{216}[/tex]
Putting the value of X1 in Eq(1) we get
[tex]y1=\frac{216}{\sqrt{216} } \\y1=\frac{216*\sqrt{216} }{216} \\y1=\ \sqrt{216}[/tex]
So [tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]
Let ????(t)=⟨t2,1−t,4t⟩r(t)=⟨t2,1−t,4t⟩. Calculate the derivative of ????(t)⋅????(t)r(t)⋅a(t) at t=2t=2, assuming that ????(2)=⟨2,5,−3⟩a(2)=⟨2,5,−3⟩ and ????′(2)=⟨4,−3,9⟩
Answer:
The derivative is [tex]\frac{ d (r(t) \cdot a(t))}{dt} = 82[/tex]
Step-by-step explanation:
From the question we are told that
[tex]r(t) = (t^2 ,1 - t , 4t)[/tex]
[tex]a(2) = (2, 5, -3)[/tex] and [tex]a'(2) = (4,-3 , 9)[/tex]
At t = 2
[tex]r(t) = (2^2 ,1 - 2 , 4(2))[/tex]
[tex]r(t) = (4 ,-1 , 8 )[/tex]
Now the derivative of r(t) is
[tex]r'(t) = (2t, -1 ,4)[/tex]
At t = 2
[tex]r'(t) = (2(2), -1 ,4)[/tex]
[tex]r'(t) = (4, -1 ,4)[/tex]
Now the derivative of [tex]r(t) \cdot a(t)[/tex] At t = 2 is
[tex]= r'(2) a(2) + a'(2)r(2)[/tex]
[tex]= (4,-1,4)(2,5,-3) + (4,-3,9)(4,-1,8)[/tex]
[tex]= (8 - 5 -12) + (16+3+72)[/tex]
[tex]= -9 + 91[/tex]
[tex]\frac{ d (r(t) \cdot a(t))}{dt} = 82[/tex]
Please answer this correctly
Answer:
1/2
Step-by-step explanation:
The numbers greater than 6 or less than 3 are 7, 8, 2, and 1.
4 numbers out of 8.
4/8 = 1/2
P(greater than 6 or less than 3) = 1/2